Journal of Symbolic Logic

The nonstationary ideal in the ℛmax extension

Paul B. Larson

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Abstract

The forcing construction ℛmax, invented by W. Hugh Woodin, produces a model whose collection of subsets of ω₁ is in some sense maximal. In this paper we study the Boolean algebra induced by the nonstationary ideal on ω₁ in this model. Among other things we show that the induced quotient does not have a simply definable form. We also prove several results about saturation properties of the ideal in this extension.

Article information

Source
J. Symbolic Logic Volume 72, Issue 1 (2007), 138-158.

Dates
First available in Project Euclid: 23 March 2007

Permanent link to this document
http://projecteuclid.org/euclid.jsl/1174668389

Digital Object Identifier
doi:10.2178/jsl/1174668389

Mathematical Reviews number (MathSciNet)
MR2298476

Zentralblatt MATH identifier
1128.03044

Citation

Larson, Paul B. The nonstationary ideal in the ℛ max extension. J. Symbolic Logic 72 (2007), no. 1, 138--158. doi:10.2178/jsl/1174668389. http://projecteuclid.org/euclid.jsl/1174668389.


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